Problem 1 Consider an electromagnetic wave traveling in vacuum. Recall that the

Question

Problem 1 Consider an electromagnetic wave traveling in vacuum. Recall that the speed of light in vacuum is c = 3 x 10^8 m/s. The electric field corresponding to this wave is given by: Here hat i, hat j, and hat k are perpendicular unit vectors associated with the Cartesian coordinates x, y, and z respectively. (a) What is the direction of propagation of this wave? (b) What is the frequency f in Hertz and the wavelength lambda in meters? (c) What is the corresponding magnetic field? (d) A totally absorbing detector of area A = 10 cm^2 lies perpendicularly to the direction of propagation. How much energy is absorbed by the detector in one second?

Explanation / Answer

a. wave if propagated along the y directiom

b. apply the relation between speed V, wavelength L and frequency f

as V = Lf

where L is wavelengtjh = 2pi/K

f is frequency   f    = W/2pi

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formula for magnetic field B = E/c

where c is speed of light

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